Abstract
We discuss the sharp interface limit of the action functional associated with either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The corresponding limiting functionals, for which we provide explicit formulae of the mobility and transport coefficients, describe the large deviation asymptotics with respect to the mean curvature flow.
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Acknowledgements
We thank C. Landim for discussions on the Glauber+Kawasaki process, and Sect. 3 is our attempt to answer his questions. L. B. acknowledges the financial support of PRIN 20155PAWZB “Large Scale Random Structure”.
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Communicated by Christian Maes.
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Bertini, L., Buttà, P. & Pisante, A. On Large Deviations of Interface Motions for Statistical Mechanics Models. Ann. Henri Poincaré 20, 1785–1821 (2019). https://doi.org/10.1007/s00023-019-00790-7
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DOI: https://doi.org/10.1007/s00023-019-00790-7